Nitrogen infused drink ? Fear you won't find that many on the market. As a F&B professional, the only example I have ever met, face to face, so to speak, is Guinness on draft (keg connected to an N2 tank instead of CO2). It was advertised that way some years ago in France and was supposed to avoid getting the beer sour and getting a denser and 'creamier' foam. Btw, you'd be curious to know if anyone knows any other N2 drink.
As far as DCI is concerned, my highly competent and scientific opinion is : you'd get an increase risk of burping !